Which expression is the factorization of x2 10x 21?

Answers

Answer 1

The factorization of the given expression [tex]\rm x^2+10x+21[/tex] is (x+3)(x+7) the option first is correct.

It is given that the expression [tex]\rm x^2+10x+21[/tex]

It is required to find which expression is the factorization of the given expression, the options are:

a) (x + 3)(x + 7)

b) (x + 4)(x + 6)

c) (x + 6)(x + 15)

d) (x + 7)(x + 14)

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have an expression:

[tex]\rm x^2+10x+21[/tex]

[tex]\rm x^2+7x+3x+21[/tex]  

Breaking 10x into 7x and 3x because the multiplication of 7x and 3x is [tex]\rm 21x^2[/tex] and the addition is 10x.

[tex]\rm x^2+7x+3x+21\\\\\rm x(x+7)+3(x+7)\\\\\rm (x+7)(x+3)[/tex]or

[tex]\rm (x+3)(x+7)[/tex]

Thus, the factorization of the given expression [tex]\rm x^2+10x+21[/tex] is (x+3)(x+7) the option first is correct.

Learn more about Polynomial here:

brainly.com/question/17822016


Related Questions

What is the area of this figure?

Answers

Answer:

Step-by-step explanation:

Answer:

140.5 square yards

Step-by-step explanation:

split the triangle from the shape: 8+7=15yd

area of triangle = 1/2 x base x height

= 1/2 x 5 x 15

=37.5 square yards

split the rectangle from the shape: 7+2=9yd

area of rectangle = length x width

= 11 x 9

= 99 square yards

split the square from the shape

area of square = n squared

= 2^2

= 4 square yards

add them all up: 37.5+99+4

= 140.5 square yards is the final answer

my bad if you can't read the working out in the picture

can someone help me with this please ​

Answers

Answer:

40 ft^2

Step-by-step explanation:

Composite shapes make a square and rectangle

4 x 4 = 16

6 x 4 = 24

24 + 16 = 40

Answer:

24 unless my mind died

Step-by-step explanation:

8+16 :D

Which value should she use as the common ratio?

0.05
0.5
1.05
5.0

Answers

Answer:

0.5

Step-by-step explanation:

0.5

I guess i am 70% sure

3
14) There are seven million, eight hundred and fifty-four thousand,
three hundred and eight people in a country. i lleda
Round this number to the nearest ten thousand people.

Answers

Answer:

7,854,000

because the 308 people would have to be at least 500 to round up to 7,855,000

Write 1.5 as an improper fraction and mixed number in simplest form.

Answers

Answer:

1 1/2 (mixed)

3/2 (improper)

Step-by-step explanation:

When the one is put to the side, you get 5/10 if you turn "0.5" into a frsaction. if you simplify 5/10, you get 1/2. Therefore, 1 1/2 is your answer. Your not done yet! After, you need to change 1 1/2 into a improper fraction which is 3/2.

good luck :)

3/2

is the answer to this question

Suppose $a(x) = 3x - 7$ and $b(x) = 2 - x^3$. What is the value of $a(b(3)) - b(a(3))$?

Answers

Answer:

-76

Step-by-step explanation:

b(3)=2-3^3 = -25.

So a(b(3))=a(-25)=3(-25)-7=-82.

a(3)=3(3)-7=2.

So b(a(3))=2-2^3 = -6.

Therefore, the value of the desired expression is -82-(-6)=-76

The value of the required function [tex]a(b(3)) - b(a(3))[/tex] is (-88).

What is a function?

"A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math. f = {(a,b)| for all a ∈ A, b ∈ B}

A relation is said to be a function if every element of set A has one and only one image in set B.

A function is a relation from a non-empty set B such that the domain of a function is A and no two distinct ordered pairs in f have the same first element."

Given two functions are:

[tex]a(x) = 3x - 7\\b(x) = 2 - x^{3}[/tex]

When the value of 'x' is 3, then the values of the given two functions are:

[tex]a(3) \\= 3x - 7\\= 3(3)-7\\= 9-7\\= 2[/tex]

[tex]b(3)\\= 2 - x^{3}\\= 2-(3)^{3}\\= 2-27\\= -25[/tex]

Now the value of the required function is:

[tex]a(b(3)) - b(a(3))\\= a(-25)-b(2)\\= [3(-25)-7]-[2-2^{3}]\\= (-75-7)-(2-8)\\= -82-6\\= -88[/tex]

Therefore, the value of the required function is (-88).

Learn more about a function here:

https://brainly.com/question/12431044

#SPJ2

What is the AREA of the figure

Answers

The area is 30 I believe

Complete the square to transform the expression x2 4x 2 into the form a(x − h)2 k. (x 2)2 − 2 (x 2)2 2 (x 4)2 − 2 (x 4)2 2.

Answers

The square transforms the expression [tex]\rm x^{2} +4x + 2^{2}[/tex] into the form  [tex](x+2)^2-2[/tex].

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

write in the form of [tex](x+y)^{2}[/tex]

[tex]\rm x^{2} +2xy + y^{2}[/tex]

2y = 4

y = 2

so, [tex]\rm x^{2} +4x + 2^{2}[/tex]

we will now convert it into the form

[tex]\rm x^{2} +2xy + y^{2}[/tex] = [tex]\rm (x+y)^{2}[/tex]

substitute the values

[tex]\rm x^{2} +4x + 2^{2} = (x+2)^{2}[/tex]

[tex](x+2)^2-2+2^2[/tex]

[tex](x+2)^2-2[/tex]

Thus, [tex](x+2)^2-2[/tex] is the correct form.

Learn more about a quadratic equation here:

brainly.com/question/2263981

Write an equation in point-slope form of the line that passes through the point (5,6) with slope 3/5

Answers

point-slope form:

y - y₁ = m(x-x₁)

slope intercept form:

y = mx + b

Equation:

[tex]\sf \hookrightarrow y-6 = \dfrac{3}{5} (x-5)[/tex]               [tex]\sf [ \ this \ is \ point \ slope \ form \ equation \ ][/tex]

[tex]\sf \hookrightarrow y-6 = \dfrac{3}{5} x-3[/tex]                               ----------------

[tex]\sf \hookrightarrow y= \dfrac{3}{5} x-3+6[/tex]                                        -------------------

[tex]\sf \hookrightarrow y= \dfrac{3}{5} x+3[/tex]                         [tex]\sf [ \ this \ is \ slope \ intercept \ form \ equation \ ][/tex]

Answer:

[tex]\boxed{y - 6 = \dfrac{3}{5} (x - 5)}[/tex]

Step-by-step explanation:

Given:

Line passes through: (5,6)Slope = 3/5 = 0.6

Formula:

[tex]y - y_{1} = m(x - x_{1} ) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{m = Slope}; \ (x_1},y_{1}) = \text{Coordinates of point}][/tex]

Substitute the values into point slope form to determine the equation of the line in point slope form.

[tex]\implies y - y_{1} = m(x - x_{1} )[/tex]

[tex]\implies \boxed{y - 6 = \dfrac{3}{5} (x - 5)}[/tex]

Help for question 1 and 2​

Answers

Answer:

(1). [tex]5^{4}[/tex] × [tex]13^{7}[/tex] ; (2). 3 - 5x

Step-by-step explanation:

1). [( - 5 )³ · ( - 5 )] ( [tex]13^{-2}[/tex] · [tex]13^{9}[/tex] ) = [tex](-5)^{3+1}[/tex] × [tex](13)^{-2+9}[/tex] = [tex](-5)^{4}[/tex] × [tex]13^{7}[/tex] = [tex]5^{4}[/tex] × [tex]13^{7}[/tex]

2). - 25x² ÷ 5x + 15x ÷ 5x = 3 - 5x

What is the volume of this figure?

Enter your answer in the box.

ft³

Answers

Answer:

96

Step-by-step explanation:

L=6

W=2

H=8

LxWxH=8x6x2=96

8x6=48

48x2=96

Answer:

76

Step-by-step explanation:

the answer is 76 because I took the test

please answer these quickly i need this

Answers

Answer:

A

Step-by-step explanation:

-7i x -1
I just need to multiply these 2 numbers but i forgot how to

Answers

The answer to -7i x -1 equals 7 i

Find the domain over which the function y = x^2 +6x is mono tonic increasing. Please help

Answers

Answer:

  x > -3

Step-by-step explanation:

The function will be increasing where its derivative is positive.

__

  y = x^2 +6x . . . . . given function

  y' = 2x +6 . . . . . . . derivative

The derivative is positive for ...

  2x +6 > 0

  2x > -6

  x > -3 . . . . . domain where the function is increasing

This i-ready lesson is hurting my brain, anyway I need help on this one ‍

Answers

Answer:

I am pretty sure it is 100in^3 + s^3

Omar owns a small business selling ice-cream. He knows that in the last week 32
customers paid cash, 2 customers used a debit card, and 26 customers used a credit
card.
a
a
If next week, he is expecting 1500 customers, about how many would you expect to
pay with a debit card? Round your answer to the nearest whole number.
a

Answers

The number of customers who will pay by debit card will be 50.

What are fractions?

The fraction is defined as the division of the whole part into an equal number of parts.

Last week there were

32 + 2 + 26 = 60 customers.

That means that the fraction of the customers, who paid by debit card, was

2/60  =   1/30

In situations like that, when we use historical data and try to predict future behaviour, we use that past experience and extrapolate to a predicted result.

we simply say that we expect the same fraction, 1/30 if customers use credit cards.

for the absolute number of predicted debit  card customers we multiply the predicted number of customers by the expected fraction

1500  × 1 / 30 = 1500  /  30  = 50

Therefore the number of customers who will pay by debit card will be 50.

To know more about fractions follow

https://brainly.com/question/78672

#SPJ2

Find the total amount
$17,600 at 16% compounded
quarterly for 2 years

Answers

Answer:

57,700.10

Step-by-step explanation:

To solve, we use the equation [tex]17,600(1.16)^8[/tex]

we set it to the power of 8, since it is compounding quarterly this means it compounds 4 times a year, and since there is 2 years, we get 8 compounds.

please rate and mark as brainlest

Write a real-world problem that can be solved using the equation:
7.5 + x = 16
PLEASE HELP ME

Answers

Answer:

8.5

Step-by-step explanation:

7.5 + 8.5 = 16

X=8.5 hope this helps

Is this equation an identity? (2x+1)^2-(x+1)^2=3(x+1)^2-1

Answers

Answer:

See below, please

Step-by-step explanation:

Left side

[tex] {(2x + 1)}^{2} - {(x + 1)}^{2} [/tex]

[tex] = (4 {x}^{2} + 4x + 1) - ( {x}^{2} + 2x + 1)[/tex]

[tex] = (4 {x}^{2} - {x}^{2} ) + (4x - 2x) + (1 -1 )[/tex]

[tex] = 3 {x}^{2} + 2x[/tex]

Right side

[tex]3 \times {(x + 1)}^{2} - 1[/tex]

[tex] = 3 \times ( {x}^{2} + 2x + 1) - 1[/tex]

[tex] = 3 {x}^{2} + 6x + 3 - 1[/tex]

[tex] = 3 {x}^{2} + 6x + 2[/tex]

After compared with both sides, we can make a conclusion that

This equation isn't an identity.

What are the solution(s) for the quadratic equation?

Y=x^2-2x+1

Answers

[tex]\\ \rm\rightarrowtail x^2-2x+1=0[/tex]

[tex]\\ \rm\rightarrowtail x^2-x-x+1=0[/tex]

[tex]\\ \rm\rightarrowtail x(x-1)-1(x-1)=0[/tex]

[tex]\\ \rm\rightarrowtail (x-1)(x-1)=0[/tex]

[tex]\\ \rm\rightarrowtail x=1[/tex]

What would you drink to survive a extra 30 years?

A. Lean
B. Orange Juice
C. Mug

Answers

Lean bc I LOVE LEAN!!!

What are the two conditions that an asset of a business needs to fulfill?

Answers

Answer:

✒️Answer:

Two conditions must be satisfied. First, the revenue must be earned, which typically means that the customer has received the good or service. Second, the revenue must have been realized or realizable, implying that the customer has paid or is expected to pay for the merchandise.

Step-by-step explanation:

#CarryOnLearning

[tex]watch.some.anime[/tex]

calculate the value of s and t​

Answers

Answer:

s = 4, t = 1.2.

Step-by-step explanation:

y = k/x   (Inverse variation, k is some constant)

Substituting:

2 = k/3

k = 2*3 = 6

So the relation is y = 6/x.

So 1.5 = 6/s

s = 6/1.5 = 4.

t = 6/5 = 1.2.

You are given two offers for a monthly wage. Option A is to be paid one cent on the first day of the month, with your wages doubling each day (2 cents on day 2, 4 cents on day 3, 8 cents on day 4, etc.) for the rest of this 30 day month. Option B is to be paid $1 on the first day of the month, with your wages increasing $100 each day ($101 on day 2, $201 on day 3, $301 on day 4, etc.). Which option will give you more money by the end of the month? Make sure to support your answer. Also remember to find the equations for the exponential function and the linear function. Substitute 30 in for x and simplify.

Answers

Answer:

Step-by-step explanation:

Option B

Because if you start with one dollar and by day 3 you get 301 dollars and option A only gives you 8 cents on day 3 you get more money by the end of the month if you choose option B.

Answer: A is the correct answer

Step-by-step explanation:

Its a because the amount keeps doubling so you will start with =

.1 then go too .2 (which is double .1)

then after .2 you will get .4( which is double .2 i will show you the graph.

.1,  .2,  .4,  .8,  1.6,   3.2,   6.4 etc. Then when you get to day 30 you will have

53.687 million dollars, buy the end of them month, you'd be a millionaire.

To solve this equation for x, we must get x by itself. How would we do this?
X + 4 = 7
A. Add 4 to both sides.
B.Subtract 4 from both sides.

Answers

Answer:

B

Step-by-step explanation:

If you were to add 4 to both sides, you would have X + 8 = 11

But when you subract, you get X = 7-4, X = 3.

Given h(r) = 5r-5,find h(2)

Answers

hello!

[tex]===================================[/tex]

let's find the value of h(2)

we know that

h(r)=5r-5

which means

h of r is 5 times r minus 5

hence

h of 2 is 5 times 2 minus 5

simplify:

h(2)=5(2)-5

h(2)=10-5

h(2)=5

[tex]==================================[/tex]

note:-Hope everything is clear; if you need any more explanation/clarification, kindly ask me, and I will comment and/or edit my answer :)

Answer:

5

Step-by-step explanation:

h(2)=5r-5

=5×2-5

=10-5

=5

Please help me!!! I don't know!
txcfygvubhjnlkm

Answers

Answer:

See explanation

Step-by-step explanation:

look photo

find the total surface area of the net below.

Answers

Answer:

78,4 cm^2

Step-by-step explanation:

I did this in my head so i could be wrong but im pretty certain this is right

3 3/5 + 1 1/6 answer as a fraction

Answers

[tex]3 \frac{3}{5} + 1 \frac{1}{6} = \\ [/tex]

[tex] \frac{(3 \times 5) + 3}{5} + \frac{(1 \times 6) + 1}{6} = \\ [/tex]

[tex] \frac{15 + 3}{5} + \frac{6 + 1}{6} = \\ [/tex]

[tex] \frac{18}{5} + \frac{7}{6} = \\ [/tex]

[tex] \frac{18 \times 6}{5 \times 6} + \frac{7 \times 5}{6 \times 5} = \\ [/tex]

[tex] \frac{108}{30} + \frac{35}{30} = \\ [/tex]

[tex] \frac{108 + 35}{ 30} = \\ [/tex]

[tex] \frac{143}{30} \\ [/tex]

Find the area OR cicumference of the semi-circle below. You must show all work to get full credit. Don't forget to label your answer.

Answers

Answer:

28.274 cm^2

Step-by-step explanation:

A = pi * r^2

A = pi * 3^2

A = pi * 9

28.2743338823

or

28.274

Other Questions
A political party has the majority ofcontrol over the national government ifit has their platform in which of thefollowing?A. Senate and Supreme CourtB. Supreme Court and HouseC. House and Senate Antonio has a total of 55 marbles. He has 15 green marbles and 12 red marbles. The rest of the marbles areblue. How many blue marbles does he haveA student solves this problem by writing an equation. Which strategy could help check the student's answer?final answer what is The basic unit of biological classification The leading brand of cosmetics in the US had about 20% of the total sales in the industry. The total sales were $ 200,000. What was the leading brands sales? Show your work. Explain three key differences between index funds and mutual funds describe early film and techniques Magnesium chloride is a salt formed with ionic bonds What is the ph of a solution of h2so4 that has [h3o ] = 5.45 105 m? round to the nearest hundredth. How does KARLEE provide a vertically integrated range of services that support customers from initial component design to a finished, assembled product? a. Advanced design engineering support b. Lack of value-added assembly c. No prototype production d. No manufacturing a woman weighs 580 N . what is her mass? Read the following poem and then answer the question. I once caught a lightning bug It was oh so bright And with my fingers I gave it a hug And it turned off its lightWhat is the rhyme scheme of this poem?A. ABBAB. ABAAC. ABAB The diameter of a wheel from a bicycle is 66 cm about how far will the wheel travel in one complete turn. - Critique Reasoning Tanya recorded the agesof 10 local babysitters: 20, 16, 18, 13, 14, 13,12, 16, 22, 18. She says that the box plot belowshows the distribution of ages. What error didshe make?BabysittersHHHHHH1214101618202224Age in Years Simplify and write in scientific notation (5.6 * 10 ^ 5)/(1.4 * 10 ^ - 2) Which speech made a stronger use of the appeal to reason? Write two paragraphs that compare and contrast both speeches in terms of their appeals to reason. Provide specific examples from the text to support your point. Use proper spelling and grammar. How many pairs of corresponging angles are formed when a transeversal is cut by 2 parallel lines? List 2 reasons why you think the toughest challenge will be convincing the American people to support WW1 The accounting firm of johnson and johnson has decided to design a nonstatistical sample to examine the accounts receivable balance of francisco fragrances, inc. , at october 31. as of october 31, there were 1,500 accounts receivable accounts with a balance of $5. 5 million. the accounts receivable population can be segregated into the following strata:number and sizeof accountsbook valueof stratum 10 accounts >$ 50,000 $ 750,000 440 accounts >$ 5,000 3,000,000 1,050 accounts $50,000$ 750,000$ 750,000$ 746,500$ 3,500>$5,0003,000,000910,000894,75015,250>$5,0001,750,00070,00068,4501,550using ratio projection, what is the total projected misstatement? what conclusion should gren make concerning the accounts receivable balance? Help me pleaseeeeeee Solve: 101x-99y=103-99x+101y=-97